What is the asymptotes of f(x)=(x^2+3x+1)/(x^2-1) ?

The asymptotes of f(x)=(x^2+3x+1)/(x^2-1) is Vertical: x=-1,x=1,Horizontal: y=1

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asymptotes of f(x)=(x^2+3x+1)/(x^2-1)

asymptotes

f (x) = \frac{x ^{2} + 3 x + 1}{x ^{2} - 1}

Vertical : x = - 1, x = 1, Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 3 x + 1}{x ^{2} - 1} : x = - 1, x = 1

Horizontal Asymptotes of

\frac{x ^{2} + 3 x + 1}{x ^{2} - 1} : y = 1

Slant Asymptotes of

\frac{x ^{2} + 3 x + 1}{x ^{2} - 1} :

None

Vertical : x = - 1, x = 1, Horizontal : y = 1

\frac{1}{2} (ln (\frac{x}{2}) - 1)

f (x) = \frac{5 x}{3 x ^{2} + 7 x - 20}

f (x) = - \frac{14}{3 x} + 5

f (x) = \frac{4 + x}{4 - x}

f (x) = \frac{( x - 3 )}{x + 4 ( x - 3 )}

What is the asymptotes of f(x)=(x^2+3x+1)/(x^2-1) ?
The asymptotes of f(x)=(x^2+3x+1)/(x^2-1) is Vertical: x=-1,x=1,Horizontal: y=1